Question

Find the LCM of a⁴+a²b²+b⁴,a³+b³

Answer 1

Answer::  

Answer:a⁴+a²b²+b⁴= (a² +b²)² - 2a²b² + a²b²= (a²+b²)² - a²b²= (a²+b²)² - (ab)²

Step-by-step explanation:

Answer 2

Answer:

a^4+a^2b^2+b^4

=(a^2)^2+2.a^2.b^2+(b^2)^2-a^2b^2

=(a^2+b^2)^2-(ab)^2

=(a^2+b^2+ab)(a^2+b^2-ab)

=(a^2+ab+b^2)(a^2-ab+b^2)

a^3+b^3

=(a+b)(a^2-ab+b^2)

so, LCM

(a+b)(a^2+ab+b^2)(a^2-ab+b^2)